Papers:
| Tame covers of curves: p-ranks and fundamental groups | PhD thesis. |
| The p-rank of ramified covers of curves | Comp. Math. 126(2001), no. 3, 295--322. |
| The p-rank of curves and covers of curves | Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 267--277, Progr. Math., 187, Birkhäuser, Basel, 2000. |
| Reduction of covers and Hurwitz spaces. With Stefan Wewers. | Crelle J. 574 (2004), 1--49. |
| Rigidity, Reduction, and Ramification. With Rachel Pries. | Math. Ann 326 (2003), 803--824. |
| Stable reduction of modular curves. With Stefan Wewers. | math.AG/0210363. Modular curves and abelian varieties, Progress in Math. 224 (2004), 1--22, Birkhäuser. |
| Reduction of the Hurwitz space of metacyclic covers. | Duke Math. J. 121 (2004), 75--111. |
Ordinary elliptic curves of high rank over $\bar F_p(x)$ with constant j-invariant. With Claus Diem and Jasper Scholten. | Manuscripta Math. 114 (2004), 487--501 |
| Alternating groups as monodromy groups in positive characteristic. With Stefan Wewers. | Pacific J. Math. 222 (2005), 185-?? |
| Asymptotically good towers and differential equations. With Peter Beelen. | Compositio Math. 141 (2005), 1405--1424. |
| The local lifting problem for dihedral groups. With Stefan Wewers. | Duke Math J. 134 (2006), 412--452. |
| Rational functions with given monodromy on generic curves. With Stefan Wewers. | Problems from the workshop on "automorphisms of curves" (Leiden 2004). Rend. Sem. Math. Univ. Padova. 113 (2005), 129--177. |
| Invariants of ternary quadratic forms. | Asterique 312, 2007. |
| Pseudo-elliptic bundles, deformation data, and the reduction of Galois covers | Habilitation thesis. |
| Indigenous bundles with nilpotent p-curvature. With Stefan Wewers. | Internat. Math. Res. Notices (2006), 1-37. |
| Teichmueller curves, triangle groups, and Lyapunov exponents. With Martin Moeller. | Annals of Math. 172 (2010). |
| The accessory parameter problem in positive characteristic. | Preprint |
| Construction of covers in positive characteristic via degeneration. | Proc. A.M.S. 137 (2009), 3169--3176. |
Differential equations associated with nonarithmetic Fuchsian groups | Journal of the London Math. Soc. 81 (2010), 65--90. |
| Deformation data, Belyi maps, and the local lifting problem, with Stefan Wewers and Leonardo Zapponi. | Trans. AMS. 362 (2009), 6645--6659. |
| Some 4-point Hurwitz numbers in positive characteristic, with Brian Osserman. | Trans. AMS.303, 2011, 6685–6711. |
| Covers of the affine line in positive characteristic with prescribed ramification | In WIN, Fields Institute Communications 60, 193-200, 2011. |
Syndrom decoding for Hermite codes with a Sugiyama algorithm, with Sabine Kampf | Advances of math Communications 6, 2012, 419-442. |
Existence of covers with fixed ramification in positive characteristic, with Leonardo Zapponi | IJNT 9(2013), 1475-1489, arXiv:1206.1262 |
| Computing L-functions and semistable reduction of superelliptic curves, with Stefan Wewers | Glasgow math J. 59, 77-108, 2017. arXiv:1211.4459 |
| Bad reduction of genus-3 curves with complex multiplication, with Jenny Cooley, Kristin Lauter, Elisa Lorenzo Garcia, Michelle Manes, Rachel Newton, Ekin Ozman. | in: Women in numbers - Europe, research directions in number theory, AWM series Vol. 2, Bertin et al (eds), 109-151, Springer, 2015. arXiv:1407.3589 |
| Zeta functions of a class of Artin-Schreier curves with many automorphisms, with Wei Ho, Beth Malmskog, Renate Scheidler, Padma Srinivasan, and Christelle Vincent. | in: Directions in Number Theory. Proceedings of the 2014 WIN Workshop. AWM series Vol. 3, Eischen et al (eds), 87-124, Springer, 2016. arXiv:1410.7031 |
The functional equation for L-functions of hyperelliptic curves, with Michel Börner and Stefan Wewers. | Experimental Math. 16 (2017), 396-411. arXiv:1504.00508 |
| Picard curves with small conductor, with Michel Börner and Stefan Wewers. | In: Algorithmic and experimental methods in algebra, geometry, and number theory, 97-122, Springer, 2017. arXiv:1701.01986 |
| Dynamical Belyi maps, with Jackie Anderson, Özlem Ejder, Neslihan Girgin, Valentijn Karemaker, and Michelle Manes. | In: Women in Numbers Europe II, Contributions to arithmetic geometry and number theory, AWM Vol. 11, Bouw et al (eds), 57-82, Springer, 2018. arXiv:1703.08563. |
| Improved power decoding of interleaved one-point Hermitian codes, with Sven Puchinger and Johan Rosenkilde. | Designs, Codes and Cryprography 87 (2019), 589–607. arXiv: 1801.07006. |
| Dynamical Belyi maps and arboreal Galois groups, with Özlem Ejder and Valentijn Karemaker. | arXiv:1811.10086. To appear in Manuscripta Math. |
| Conductor and discriminant of Picard curves, with Angelos Koutsianas, Jeroen Sijsling, and Stefan Wewers. | arXiv:1902.09624. To appear in Journal of the London Math. Soc. |
| Reduction type of genus-3 curves in a special stratum of their moduli space, with Nirvana Coppola, Pinar Kilicer, Sabrina Kunzweiler, Elisa Lorenzo Garcia, and Anna Somoza. | arXiv:2003.07633. To appear in Women in Numbers Europe III. |